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This paper aims to simplify the continuity conditions of Bézier curves. For this purpose, a special family of Bézier curves with three parameters, to be called adjustable Bézier curves, is constructed. They have the same structure as the quartic Bézier curves. The newly constructed curves possess some of the basic properties of Bézier curves, such as the… (More)

- LanLan Yan, JiongFeng Liang, GuoGen Wu
- 2009 International Conference on Environmental…
- 2009

Two kinds of trigonometric spline curves with shape parameter are presented in this paper. The trigonometric spline curves are constructed with three consecutive control points for each curve segment. The given curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties than the quadratic B-spline curve. The… (More)

- JiongFeng Liang, LanLan Yan
- 2009 International Conference on Business…
- 2009

Four kinds of trigonometric spline curves with shape parameter are presented in this paper. The trigonometric spline curves are constructed with three consecutive control points for each curve segment. The given curves posses many properties of the quadratic B-spline. Meanwhile, they have many better properties than the quadratic B-spline curve. The given… (More)

- LanLan Yan, GuoGen Wu, JiongFeng Liang
- 2009 International Conference on Environmental…
- 2009

Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve.… (More)

- LanLan Yan, GuoGen Wu, JiongFeng Liang
- 2009 International Conference on Environmental…
- 2009

Two kinds of polynomial bases with parameter are constructed in this paper. Based on these bases, two kinds of curves with shape parameter are defined. The first kind of curve contained the Wang-Ball and Said-Ball curve of ninth degree and many curves located between them. The second kind of curve contained the Said-Ball and Bézier curve of ninth… (More)

- JiongFeng Liang, LanLan Yan
- 2009 Asia-Pacific Conference on Information…
- 2009

Three kinds of trigonometric bases are constructed in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. As each piece of the curves is generated by three consecutive control points, they retain many properties of the quadratic B-spline curves, but they have higher order continuity than the… (More)

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